Math of Computer Science - Test #3 November 28, 2005

  1. Matrix Operations
    1. addition
    2. row and column vector multiplication
    3. multiplication
    4. multiplication by scaler
    5. transpose
  2. Boolean matrices
    1. join and meet
    2. boolean product
    3. idempotent and nilpotent matrices

  3. Function definition and concept
  4. domain, codomain and range
  5. identity and constant functions
  6. one to one and onto
  7. cardinality and one to one correspondence
  8. composition
  9. inverse
  10. floor and ceiling
  11. countable and uncountable sets
  12. Cantor's diagonalization arguments
  13. sequences - infinite and finite
  14. arithmetic sequences (progressions) and series (sums)
  15. geometric sequences and series
  16. summation and product notation
  17. character strings, words and computer storage
  18. binary operations
  19. commutativity, transitivity
  20. Cayley (binary operation) tables


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